The document is a review sheet for Exam 1 in Math 1300 at Pennsylvania State University. It provides an overview of the topics that will be covered on the exam, including three-dimensional coordinate systems, vectors, the dot and cross products, equations of lines and planes, and vector functions. It lists important concepts and skills from chapters 13 and 14 that students should review in preparation for the exam.

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MATH 1300 > Math 1300 Review sheet for Exam 1 PSU MATH 1300 - Math 1300 Review sheet for Exam 1 (2 pages)
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Review sheet for Exam 1 0 0 1300 views Problems/Exams Pages: 2 School: Pennsylvania State University Course: Math
1300 - Calculus of Several Variables Calculus of Several Variables Documents CALCULUS
Psu Math 231
OF SEVERAL VARIABLES 4 pages Final Examination 13 pages CALCULUS AND VECTOR ANALYSIS 2 pages Review
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Exam 1 Our midterm exam will cover Chapters 13 14 Some important skills Section 13 1 Three dimensional Coordinate
Systems Find the distance from a point P to the coordinate planes or the coordinate axes Find the distance between two
points in R3 The general equation of a plane and general equation of a sphere in R3 Find the equation of a sphere Find
the radius and the center of a sphere given by a quadratic equation Sections 13
Math 231 Psu
2 13 3 Vectors The dot product Adding vectors triangle law parallelogram law scalar multiplication Find the dot product
of two vectors Given a vector v in R3 find its magnitude length or norm Find a unit vector that has the same direction as
a given one Apply the cosine formula Determine whether two vectors are parallel perpendicular or neither Scalar
projection and vector projection of a vector b onto a Find the work done by a force acting on an object Section 13 4 The
cross product Find the cross product of two given vectors Find the area of the parallelogram Find the area of of a
triangle Find a vector orthogonal to a given plane Find the volume of a parallelepiped determined by vectors or points
Torque about a point Section 13 5 Equations of lines and planes Find a vector parametric or symmetric equations of a
Psu Math 231 Practice Final Exams
given line L Decide whether three given points lie in the same line Find the equation of a given plane Decide whether two
lines lines are parallel intersecting or skew 1 Decide whether four given points lie in the same plane Find the distance
from a point P to a given plane Find the distance between two parallel planes Section 13 6 Cylindrical and Quadratic
Surfaces Find traces of a surface S in the planes x k y k or z k Find the traces of a given quadric surface and give a rough
sketch Identify cylinders in the space Identify quadric surfaces ellipsoids paraboloids cones hyperboloids Section 14 1
Vector Functions and Space Curves Describe a curve given by a vector function Find limits and View Full Document
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